A fruit seller had mangoes and mangosteens. The ratio of mangoes to mangosteens was 3 : 8. After
25 of the mangoes and 39 mangosteens were sold, there were 3 times as many mangoes as mangosteens left. How many mangoes and mangosteens were there at first?
|
Mangoes |
Mangosteens |
Total |
Before |
3 u |
8 u |
11 u |
Change |
- 1.2 u |
- 39 |
|
After |
1.8 u |
5.4 u |
|
Number of mangoes sold
=
25 x 3 u
= 1.2 u
Number of mangoes left
= 3 u - 1.2 u
= 1.8 u
Number of mangosteens left
= 3 x 1.8 u
= 5.4 u
Number of mangosteens sold
= 8 u - 5.4 u
= 2.6 u
2.6 u = 39
1 u = 39 ÷ 2.6 = 15
Number of mangoes and mangosteens at first
= 3 u + 8 u
= 11 u
= 11 x 15
= 165
Answer(s): 165